1. Factoring Polynomials
Objectives:
To factor monomials
To factor out common factors in terms of a polynomial

2. Warm-Up 2 minutes 2) 12a2b2 3) 6x3 + 12x2 4) 12u3v2 + 16uv4 Multiply.
Factor out the GCF
2) 12a2b2
3) 6x3 + 12x2
4) 12u3v2 + 16uv4

3. Example 4 Factor. a) 18y4 – 6y3 + 12y2 6y2( ) 3y2 - y + 2
b) 8x4y3 – 6x2y4
2x2y3( )
4x2
- 3y
c) 5x3y4 + 7x2z3 + 3y2z
No common factors

4. Practice
Factor.
1) 3x6 – 5x3 + 2x2
2) 9x4 – 15x3 + 3x2

5. Practice
Factor.
3) 2p3q2 + p2q + pq
4) 12m4n4 + 3m3n2 + 6m2n2

6. Practice Factor. 1) x2 – 4x 2) 12m5n2 + 9m4n + 6m3n2
3) 2x7 – 2x6 – 64x5 + 4x3

7. B 13 Factoring x2 + bx + c

8. Example 1
Factor.
x2 + 8x + 12
( )( ) x + 6 x + 2

9. Example 2
Factor.
x2 + 11x + 24
( )( ) x + 3 x + 8

10. Practice
Factor.
1) x2 + 7x + 12
2) x2 + 13x + 36

11. Example 3
Factor.
x2 – 10x + 16
( )( ) x - 2 x - 8

12. Practice
Factor.
1) x2 – 8x + 15
2) x2 – 9x + 20

13. Example 4
Factor.
x2 + 3x - 4
( )( ) x + 4 x - 1

14. Example 5
Factor.
x2 - 2x - 24
( )( ) x + 4 x - 6

15. Practice
Factor.
1) x2 + x - 12
2) x2 – 4x - 12